Posts by Radu Precup

[1] Kolmanovskii V, Myshkis A., Applied Theory of Functional Differential Equations, Kluwer, DorDrecht; 1992, https://link.springer.com/book/10.1007/978-94-015-8084-7
[2] Cioranescu N., Sur les conditions lineaires dans l’integration des equations differentielles ordinaires, Math. Z. 1932;35:601–608.
[3] Whyburn WM., Differential equations with general boundary conditions, Bull. Amer. Math. Soc. 1942;48:692–704, https://www.ams.org/bull/1942-48-10/S0002-9904-1942-07760-3/
[4] Conti R., Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. Un. Mat. Ital. 1967;22:135–178, http://www.ams.org/mathscinet-getitem?mr=218650
[5] Bolojan-Nica O, Infante G, Precup R., Existence results for systems with coupled nonlocal initial conditions, Nonlinear Anal. 2014;94:231–242, https://doi.org/10.1016/j.na.2013.08.019
[6] Bolojan O, Infante G, Precup R., Existence results for systems with coupled nonlocal nonlinear initial conditions, Math. Bohem. 2015;140:371–384, https://mb.math.cas.cz/mb140-4/1.html
[7] Boucherif A, Precup R., On the nonlocal initial value problem for first order differential equations, Fixed Point Theory. 2003;4:205–212, https://www.researchgate.net/publication/284814064_On_the_nonlocal_initial_value_problem_for_first_order_differential_equations
[8] Garcıa-Falset J, Reich S., Integral solutions to a class of nonlocal evolution equations, Commun. Contemp. Math. 2010;12:1032–1054 https://doi.org/10.1142/S021919971000410X
[9] Karakostas GL, Tsamatos PCh., Existence of multiple positive solutions for a nonlocal boundary value problem, Topol. Methods Nonlinear Anal. 2002;19:109–121.
[10] Nica O., Initial-value problems for first-order differential systems with general nonlocal conditions, Electron. J. Differential Equations. 2012;2012(74):1–15, https://ejde.math.txstate.edu/Volumes/2012/74/abstr.html
[11] Nica O, Precup R., On the nonlocal initial value problem for first order differential systems, Stud. Univ. Babes-Bolyai Math. 2011;56(3):125–137, https://www.researchgate.net/publication/250615114_Initial-value_problems_for_first-order_differential_systems_with_general_nonlocal_conditions#:~:text=1072%2D6691.-,URL%3A,ejde.math.txstate.edu,-INITIAL%2DVALUE
[12] Webb JRL, Infante G., Positive solutions of nonlocal initial boundary value problems involving integral conditions, NoDEA Nonlinear Differential Equations Appl. 2008;15:45–67. [13] Stikonas A., A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions, Nonlinear Anal. Model. Control. 2014;19:301–334,  http://dx.doi.org/10.15388/NA.2014.3.1
[14] Kerefov A.A., Nonlocal boundary value problems for parabolic equations (Russian), Differ. Uravn. 1979;15:74–78.
[15] Vabishchevich PN., Non-local parabolic problems and the inverse heat-conduction problem (Russian), Differ. Uravn. 1981;17:761–765.
[16] Chabrowski J., On nonlocal problems for parabolic equations, Nagoya Math. J. 1984;93:109–131.
[17] Pao CV., Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions, J. Math. Anal. Appl. 1995;195:702–718, https://doi.org/10.1006/jmaa.1995.1384
[18] Olmstead WE, Roberts CA., The one-dimensional heat equation with a nonlocal initial condition, Appl. Math. Lett. 1997;10:89–94.
[19] McKibben M., Discovering Evolution Equations with Applications, Chapman &Hall/CRC. 2011;I.
[20] Byszewski L., Theorems about the existence and uniqueness of solutions of semilinear evolution nonlocal Cauchy problems, J. Math. Anal. Appl. 1991;162:494–505, https://doi.org/10.1016/0022-247X(91)90164-U
[21] Jackson D., Existence and uniqueness of solutions to semilinear nonlocal parabolic equations, J. Math. Anal. Appl. 1993;172;256–265, https://doi.org/10.1006/jmaa.1993.1022
[22] Lin Y, Liu JH., Semilinear integrodifferential equations with nonlocal Cauchy problem, Nonlinear Anal. 1996;26:1023–1033.
[23] Bolojan O, Precup R., Semilinear evolution systems with nonlinear constraints, Fixed Point Theory. 2016;17:275–288.
[24] Boucherif A, Akca H., Nonlocal Cauchy problems for semilinear evolution equations, Dynam. Systems Appl. 2002;11:415–420.
[25] Boucherif A, Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl. 2007;16:507–516.
[26] Burlica M, Rosu D, Vrabie II.,  Abstract reaction-diffusion systems with nonlocal initial conditions, Nonlinear Anal. 2014;94:107–119, https://doi.org/10.1016/j.na.2013.07.033
[27] Cardinali T, Precup R, Rubbioni P., A unified existence theory for evolution equations and systems under nonlocal conditions, J. Math. Anal. Appl. 2015;432:1039–1057, https://arxiv.org/pdf/1406.6825.pdf
[28] Infante G, Maciejewski M., Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions, J. London Math. Soc. 2016;94:859–882, http://dx.doi.org/10.1112/jlms/jdw061
[29] Liu JH., A remark on the mild solutions of non-local evolution equations, Semigroup Forum. 2003;66:63– 67.
[30] Necula M, Vrabie II., Nonlinear delay evolution inclusions with general nonlocal initial conditions, Ann. Acad. Rom. Sci. Ser. Math. 2015;7:67–97.
[31] Ntouyas SK, Tsamatos PCh., Global existence for semilinear evolution equations with nonlocal conditions, J. Math. Anal. Appl. 1997;210:679–687.
[32] Paicu A, Vrabie II., A class of nonlinear evolution equations subjected to nonlocal initial conditions, Nonlinear Anal. 2010;72:4091–4100.
[33] Vrabie II., Global solutions for nonlinear delay evolution inclusions with nonlocal initial conditions, SetValued Var. Anal. 2012;20:477–497.
[34] Kumar K, Karnatak M, Kumar R., Nonlinear Integrodifferential Equations with Time Varying Delay. Advances in the Theory of Nonlinear Analysis and its Application.2021;5(3):433-444, https://doi.org/10.31197/atnaa.814109
[35] Yang H, Zhao Y., Existence and optimal controls of non-autonomous impulsive integro-differential evolution equation with nonlocal conditions. Chaos, Solitons & Fractals. 2021 Jul 1;148:111027, https://doi.org/10.1016/j.chaos.2021.111027
[36] Munusamy K, Ravichandran C, Nisar KS, Ghanbari B., Existence of solutions for some functional integrodifferential equations with nonlocal conditions. Mathematical Methods in the Applied Sciences. 2020 Nov 30;43(17):10319-31, https://doi.org/10.1002/mma.6698
[37] Burlica MD, Necula M, Rosu D, Vrabie II., Delay Differential Evolutions Subjected to Nonlocal Initial Conditions, Chapman and Hall/CRC Press; 2016, https://doi.org/10.1201/b20368
[38] Bolojan O, Precup R., Hybrid delay evolution systems with nonlinear constraints, Dynam. Systems Appl., to appear.
[39] Webb GF., An abstract semilinear Volterra integrodifferential equation, Proc. Amer. Math. Soc. 1978;69:255–260.
[40] Viorel A., Contributions to the Study of Nonlinear Evolution Equations, Ph.D. Thesis, Cluj-Napoca; 2011.
[41] Precup R., The role of matrices that are convergent to zero in the study of semilinear operator systems, Math. Comp. Modelling. 2009;49:703–708, http://dx.doi.org/10.1016/j.mcm.2008.04.006
[42] Baras P, Hassan JC, Veron L., Compacite de l’operateur definissant la solution d’une equation d’evolution non homogene, C. R. Acad. Sci. Paris. 1977;284:779–802.
[43] Cazenave T, Haraux A., An Introduction to Semilinear Evolution Equations, Oxford University Press, New York; 1998.
[44] Goldstein JA., Semigroups of Linear Operators and Applications, Oxford University Press, New York; 1985.
[45] Vrabie, C0-Semigroups and Applications, Elsevier, Amsterdam; 2003.